Question 519204
The line y = 2x-3 is in slope-intercept form.
2 = slope
-3 = y-intercept
.
A line perpendicular to the line y = 2x-3 will have a slope of -1/2, which is the inverse reciprocal of 2.
.
y = -1/2x + b
.
Then use the point you want to go through to find 'b'.
.
4 = -1/2(2) + b
4 = -1 + b
b = 5
.
y = -1/2x +5
.
In the following graph, y= 2x-3 is red; y = -1/2x + 5 is green.
.
{{{ graph(500,500,-10,10,-10,10,2*x-3,-1/2*x+5) }}}